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30 relations: Advection, Amplitude, Approximation theory, Computer simulation, Coordinate system, Courant Institute of Mathematical Sciences, Degrees of freedom (physics and chemistry), Dimension, Dimensionless quantity, English language, Explicit and implicit methods, Finite difference, Finite difference method, German language, Hans Lewy, Hyperbolic partial differential equation, IBM Journal of Research and Development, Kurt Otto Friedrichs, Magnitude (mathematics), Mathematics, Mathematische Annalen, Numerical analysis, Numerical linear algebra, Parameter, Partial differential equation, Richard Courant, Space, Temporal discretization, Translation, Variable (mathematics).
Advection
In the field of physics, engineering, and earth sciences, advection is the transport of a substance by bulk motion.
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Amplitude
The amplitude of a periodic variable is a measure of its change over a single period (such as time or spatial period).
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Approximation theory
In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.
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Computer simulation
Computer simulation is the reproduction of the behavior of a system using a computer to simulate the outcomes of a mathematical model associated with said system.
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Coordinate system
In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
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Courant Institute of Mathematical Sciences
The Courant Institute of Mathematical Sciences (CIMS) is an independent division of New York University (NYU) under the Faculty of Arts & Science that serves as a center for research and advanced training in computer science and mathematics.
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Degrees of freedom (physics and chemistry)
In physics, a degree of freedom is an independent physical parameter in the formal description of the state of a physical system.
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Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
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Dimensionless quantity
In dimensional analysis, a dimensionless quantity is a quantity to which no physical dimension is assigned.
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English language
English is a West Germanic language that was first spoken in early medieval England and is now a global lingua franca.
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Explicit and implicit methods
Explicit and implicit methods are approaches used in numerical analysis for obtaining numerical approximations to the solutions of time-dependent ordinary and partial differential equations, as is required in computer simulations of physical processes.
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Finite difference
A finite difference is a mathematical expression of the form.
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Finite difference method
In mathematics, finite-difference methods (FDM) are numerical methods for solving differential equations by approximating them with difference equations, in which finite differences approximate the derivatives.
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German language
German (Deutsch) is a West Germanic language that is mainly spoken in Central Europe.
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Hans Lewy
Hans Lewy (20 October 1904 – 23 August 1988) was a Jewish German born American mathematician, known for his work on partial differential equations and on the theory of functions of several complex variables.
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Hyperbolic partial differential equation
In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first derivatives.
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IBM Journal of Research and Development
IBM Journal of Research and Development is a peer-reviewed bimonthly scientific journal covering research on information systems.
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Kurt Otto Friedrichs
Kurt Otto Friedrichs (September 28, 1901 – December 31, 1982) was a noted German American mathematician.
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Magnitude (mathematics)
In mathematics, magnitude is the size of a mathematical object, a property which determines whether the object is larger or smaller than other objects of the same kind.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Mathematische Annalen
Mathematische Annalen (abbreviated as Math. Ann. or, formerly, Math. Annal.) is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann.
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Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
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Numerical linear algebra
Numerical linear algebra is the study of algorithms for performing linear algebra computations, most notably matrix operations, on computers.
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Parameter
A parameter (from the Ancient Greek παρά, para: "beside", "subsidiary"; and μέτρον, metron: "measure"), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc.
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Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.
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Richard Courant
Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician.
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Space
Space is the boundless three-dimensional extent in which objects and events have relative position and direction.
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Temporal discretization
Temporal discretization is a mathematical technique applied to transient problems that occur in the fields of applied physics and engineering.
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Translation
Translation is the communication of the meaning of a source-language text by means of an equivalent target-language text.
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Variable (mathematics)
In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.
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References
[1] https://en.wikipedia.org/wiki/Courant–Friedrichs–Lewy_condition
